SOLUTION: The probability of working on Saturday is 0.52.The probability of working on sunday is 0.61. The probability of not working on either day is 0.12. What is the probability that you

Algebra ->  Probability-and-statistics -> SOLUTION: The probability of working on Saturday is 0.52.The probability of working on sunday is 0.61. The probability of not working on either day is 0.12. What is the probability that you       Log On


   

Question 1161252: The probability of working on Saturday is 0.52.The probability of working on sunday is 0.61. The probability of not working on either day is 0.12. What is the probability that you work both days?
I appreciate any help:)
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Each week there are only four mutually exclusive possibilities:
A) You work on Saturday, but not on Sunday,
B) You work on Sunday, but not on Saturday,
C) You work on both days, or
D) you do not work on either day.
So P%28A%29%2BP%28B%29%2BP%28C%29%2BP%28D%29=1 .
The probability of working on Saturday is P%28A%29%2BP%28C%29+=+0.52 .
The probability of working on sunday is P%28B%29%2BP%28C%29+=+0.61 .
The probability of not working on either day isP%28D%29+=+0.12 .
P%28A%29%2BP%28C%29%2BP%28B%29%2BP%28C%29%2BP%28D%29=0.52%2B0.61%2B0.12
P%28A%29%2BP%28B%29%2BP%28C%29%2BP%28D%29%2BP%28C%29=1.25
1%2BP%28C%29=1.25
P%28C%29=1.25-1
highlight%28P%28C%29=0.25%29